A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots

McCutcheon, Dara P. S.; Dattani, Nikesh S.; Gauger, Erik M.; Lovett, Brendon W.; Nazir, Ahsan

doi:10.1103/physrevb.84.081305

Cited by 138 publications

(128 citation statements)

References 22 publications

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“…For generality, the variational approach of polaron transformation is adopted here, which extends the validity of the original full polaron method to the slow bath regime [22,23,43]. The variational polaron transformation is generated by…”

Section: Polaron Transformation Of the Spin-boson Modelmentioning

confidence: 99%

Non-canonical distribution and non-equilibrium transport beyond weak system-bath coupling regime: A polaron transformation approach

Cao

2016

Front. Phys.

102

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The concept of polaron, emerged from condense matter physics, describes the dynamical interaction of moving particle with its surrounding bosonic modes. This concept has been developed into a useful method to treat open quantum systems with a complete range of system-bath coupling strength. Especially, the polaron transformation approach shows its validity in the intermediate coupling regime, in which the Redfield equation or Fermi's golden rule will fail. In the polaron frame, the equilibrium distribution carried out by perturbative expansion presents a deviation from the canonical distribution, which is beyond the usual weak coupling assumption in thermodynamics. A polaron transformed Redfield equation (PTRE) not only reproduces the dissipative quantum dynamics but also provides an accurate and efficient way to calculate the non-equilibrium steady states. Applications of the PTRE approach to problems such as exciton diffusion, heat transport and light-harvesting energy transfer are presented.

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Section: Polaron Transformation Of the Spin-boson Modelmentioning

confidence: 99%

Non-canonical distribution and non-equilibrium transport beyond weak system-bath coupling regime: A polaron transformation approach

Cao

2016

Front. Phys.

102

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“…(36) and the subsequent definitions are quite general, and the (secular) master equation corresponding to any polaron-like transformation on the Hamiltonian can be obtained by the appropriate choice of the functions ζ 0 (ω) and ζ 1 (ω). For example, the master equation corresponding to the SH transformation 62,63 is given by set-…”

Section: A Dynamics: Master Equation Derivationmentioning

confidence: 99%

“…61 As well as being conceptually simpler than these often costly techniques, our ansatz is itself based on a generalized polaron-type transformation that permits the nonequilibrium dynamics of the TLS to be explored using many of the advances recently made in polaron theory. [51][52][53][54][55][62][63][64] The paper is set out as follows: In Sec. II we introduce the spin-boson model and formulate the problem.…”

Section: Introductionmentioning

confidence: 99%

Ground state and dynamics of the biased dissipative two-state system: Beyond variational polaron theory

2012

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We propose a ground-state ansatz for the Ohmic spin-boson model that improves upon the variational treatment of Silbey and Harris for biased systems in the scaling limit. In particular, it correctly captures the smooth crossover behavior expected for the ground-state magnetization when moving between the delocalized and localized regimes of the model, a feature that the variational treatment is unable to properly reproduce, while it also provides a lower ground-state energy estimate in the crossover region. We further demonstrate the validity of our intuitive ground-state by showing that it leads to predictions in excellent agreement with those derived from a nonperturbative Bethe-ansatz technique. Finally, recasting our ansatz in the form of a generalized polaron transformation, we are able to explore the dissipative two-state dynamics beyond weak system-environment coupling within an efficient time-local master equation formalism.

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“…to the full Hamiltonian H = H S + H B + H I allows us to derive a master equation valid beyond the weak TLE-environment coupling regime [36]. This unitary generates a displaced representation of the thermal bath, removing the linear coupling term H I to givẽ…”

Section: Modelmentioning

confidence: 99%

Quantum correlations of light and matter through environmental transitions

Iles-Smith¹,

Nazir²

2016

Optica

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One aspect of solid-state photonic devices that distinguishes them from their atomic counterparts is the unavoidable interaction between system excitations and lattice vibrations of the host material. This coupling may lead to surprising departures in emission properties between solid-state and atomic systems. Here we predict a striking and important example of such an effect. We show that in solid-state cavity quantum electrodynamics, interactions with the host vibrational environment can generate quantum cavity-emitter correlations in regimes that are semiclassical for atomic systems. This behaviour, which can be probed experimentally through the cavity emission properties, heralds a failure of the semiclassical approach in the solid-state, and challenges the notion that coupling to a thermal bath supports a more classical description of the system. Furthermore, it does not rely on the spectral details of the host environment under consideration and is robust to changes in temperature. It should thus be of relevance to a wide variety of photonic devices.

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A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots

Cited by 138 publications

References 22 publications

Non-canonical distribution and non-equilibrium transport beyond weak system-bath coupling regime: A polaron transformation approach

Non-canonical distribution and non-equilibrium transport beyond weak system-bath coupling regime: A polaron transformation approach

Ground state and dynamics of the biased dissipative two-state system: Beyond variational polaron theory

Quantum correlations of light and matter through environmental transitions

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